3824704420416 has 336 divisors, whose sum is σ = 12053906092800. Its totient is φ = 1149865943040.

The previous prime is 3824704420403. The next prime is 3824704420451. The reversal of 3824704420416 is 6140244074283.

3824704420416 is a `hidden beast` number, since 3 + 82 + 470 + 44 + 20 + 41 + 6 = 666.

It is a super-2 number, since 2×3824704420416² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041300756 + ... + 1041304428.

Almost surely, 2^{3824704420416} is an apocalyptic number.

3824704420416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3824704420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026953046400).

3824704420416 is an abundant number, since it is smaller than the sum of its proper divisors (8229201672384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3824704420416 is a wasteful number, since it uses less digits than its factorization.

3824704420416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

Adding to 3824704420416 its reverse (6140244074283), we get a palindrome (9964948494699).

The spelling of 3824704420416 in words is "three trillion, eight hundred twenty-four billion, seven hundred four million, four hundred twenty thousand, four hundred sixteen".